Search a number
-
+
1253436140 = 2251119728921
BaseRepresentation
bin100101010110101…
…1110101011101100
310020100120011010202
41022231132223230
510031334424030
6324213253032
743030013525
oct11255365354
93210504122
101253436140
11593594140
122ab934178
1316c8b38b8
14bc67d84c
1575093745
hex4ab5eaec

1253436140 has 48 divisors (see below), whose sum is σ = 2886184224. Its totient is φ = 453465600.

The previous prime is 1253436139. The next prime is 1253436157. The reversal of 1253436140 is 416343521.

It is a super-2 number, since 2×12534361402 = 3142204314116199200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28880 + ... + 57800.

It is an arithmetic number, because the mean of its divisors is an integer number (60128838).

Almost surely, 21253436140 is an apocalyptic number.

1253436140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253436140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443092112).

1253436140 is an abundant number, since it is smaller than the sum of its proper divisors (1632748084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253436140 is a wasteful number, since it uses less digits than its factorization.

1253436140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29138 (or 29136 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1253436140 is about 35403.9000676479. The cubic root of 1253436140 is about 1078.2035005111.

Adding to 1253436140 its reverse (416343521), we get a palindrome (1669779661).

The spelling of 1253436140 in words is "one billion, two hundred fifty-three million, four hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 28921 43340 57842 115684 144605 289210 318131 578420 636262 1272524 1590655 3181310 5697437 6362620 11394874 22789748 28487185 56974370 62671807 113948740 125343614 250687228 313359035 626718070 1253436140